Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
89280fv |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
752640 |
Modular degree for the optimal curve |
Δ |
-1111943116800000 = -1 · 214 · 36 · 55 · 313 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 2 2 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1384272,-626876064] |
[a1,a2,a3,a4,a6] |
Generators |
[48217:10584485:1] |
Generators of the group modulo torsion |
j |
-24560689104608256/93096875 |
j-invariant |
L |
7.5375036507016 |
L(r)(E,1)/r! |
Ω |
0.069592766568479 |
Real period |
R |
7.2205815140685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999916987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89280cb1 22320h1 9920v1 |
Quadratic twists by: -4 8 -3 |